Komuro-expansiveness for sectional-hyperbolic attracting sets
Hyperbolic dynamic, sectional-hyperbolic set, expansiveness,
global Poincaré map, strong dissipativity, stable foliation.
In this work we prove the expansiveness according to Komuro for hyperbolic-sectional measures for a variety of dimension d ≥ 3. For this we present two results, the first is restricted to the case in that d_cu = 2, that is, the center-unstable subfibre of the sink has dimensions are 2 and the second is for the case d_cu> 2. In the latter case we will see that it is necessary to assume that the sink is 1-strongly dissipative. However, Poincaré, our main tool for study of expansivity, and we used stable foliation throughout the region trap containing the sink to analyze expansion of distances. We also present some consequences of these results.